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Finding the Third Proportional to 24,206 and 52,120

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Solution

The third proportional to 24,206 and 52,120 is: 112,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206 : 52,120 = 52,120 : x
  2. Step 2: Convert to fraction form
    24,206/52,120 = 52,120/x
  3. Step 3: Cross multiply
    24,206x = 52,120 × 52,120
  4. Step 4: Simplify right side
    24,206x = 2,716,494,400
  5. Step 5: Solve for x
    x = 2,716,494,400/24,206
  6. Step 6: Final answer
    x = 112,224.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.